X300

ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER

X300 is the isotomic conjugate of 1st isodynamic center.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 13, 76 }: Central Line L(13, 76) { 2, 94 }: Central Line L(2, 94) { 264, 302 }: Central Line L(264, 302) { 303, 311 }: Central Line L(303, 311) { 265, 621 }: Central Line L(265, 621) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_2 = CENTROID (0.5374, 0.2000) X_94 = ISOGONAL CONJUGATE OF X(50) (0.9069, -0.1331) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_302 = ISOTOMIC CONJUGATE OF 1st NAPOLEON POINT (0.5043, 0.1643) X_303 = ISOTOMIC CONJUGATE OF 2nd NAPOLEON POINT (0.6079, 0.2757) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_265 = REFLECTION OF X(3) IN X(125) (0.8606, -0.0500) X_621 = ANTICOMPLEMENT OF X(15) (0.5084, 0.2242) X_300 = ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER (0.5239, 0.2121) A B C X13 X76 X2 X94 X264 X302 X303 X311 X265 X621 X300 (a, b, c) = (5, 6, 7) | AB = 1

X300 (ISOTOMIC CONJUGATE OF 1st ISODYNAMIC CENTER) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\csc^{2} A \csc(A + \pi /3) : \csc^{2} B \csc(B + \pi /3) : \csc^{2} C \csc(C + \pi /3)\)
Barycentrics: \(\csc A \csc(A + \pi /3) : \csc B \csc(B + \pi /3) : \csc C \csc(C + \pi /3)\)
Search Value (6, 9, 13): \(0.339123705308\)
▸ Incident Central Lines5 lines

{2, 94}, {13, 76}, {264, 302}, {265, 621}, {303, 311}

▸ Functional Relations6 relations